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Finding the Third Proportional to 576,163 and 872,205

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Solution

The third proportional to 576,163 and 872,205 is: 1,320,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,163 : 872,205 = 872,205 : x
  2. Step 2: Convert to fraction form
    576,163/872,205 = 872,205/x
  3. Step 3: Cross multiply
    576,163x = 872,205 × 872,205
  4. Step 4: Simplify right side
    576,163x = 760,741,562,025
  5. Step 5: Solve for x
    x = 760,741,562,025/576,163
  6. Step 6: Final answer
    x = 1,320,358.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.